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                CF348  Pilgrims                </h1>
                <p>时间限制：10s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：256MB</p>			</div>
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                                <h3>题目描述</h3><p><div>在很久以前有一片土地被称为 Dudeland。Dudeland 包含 n 个城镇，</div>
<div>它们用 n &minus; 1 条双向道路连接起来。这些城镇通过道路可以两两互达。这</div>
<div>里有 m 个修道院坐落在 m 个不同的城镇。每个修道院有一个教徒。</div>
<div>在一年之始，每个教徒会选择离他最远的一个修道院。如果有多个，</div>
<div>他会把所有的都列入清单。在 &ldquo;BigLebowskiday&rdquo; 里，每个教徒会随机选</div>
<div>择一个清单里的城镇开始走去。</div>
<div>Walter 讨厌教徒。他想尽可能的通过阻止他们的行程来让尽可能多的</div>
<div>人不开心。他计划摧毁一个没有修道院的城镇。一个教徒如果在他的清单</div>
<div>里没有任何一个城镇能去，他就会不开心。</div>
<div>你需要求出 Walter 最多能让几个教徒不开心。除此之外，你还要计算</div>
<div>他有多少种方法。</div>
<div></div>
<p></p></p><hr/><h3>输入格式</h3><p><div>第一行包含两个整数 n,m，满足 3 &le; n &le; 10^5, 2 &le; m&lt;n。</div>
<div>接下来一行，有 m 个互不相同的整数，他们代表了有修道院的城镇的</div>
<div>编号。</div>
<div>接下来 n &minus; 1 行，每行三个整数 ai,bi,ci，表示 ai,bi 之间有一条边权</div>
<div>为 ci 的边。（1 &le; ai,bi &le; n,ai = bi,ci &le; 1000）</div>
<div></div>
<p></p></p><hr/><h3>输出格式</h3><p><div>输出两个数：最多能让几个教徒不开心，以及有多少种方式达到这种效果。</div>
<p></p></p><hr/><h3>样例输入</h3><pre>8 5
7 2 5 4 8
1 2 1
2 3 2
1 4 1
4 5 2
1 6 1
6 7 8
6 8 10</pre><hr/><h3>样例输出</h3><pre>5 1</pre><hr/><h3>提示</h3><p>没有写明提示</p><hr/><h3>题目来源</h3><p>没有写明来源</p>
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